The Hochschild cohomology of the group $G_3^2$

Abstract

We apply discrete algebraic Morse theory to calculate the Anick resolution of the group algebra of the group $G_3^2$. As a corollary, we evaluate Hochschild cohomologies of $G_3^2$ with coefficients in all 1-dimensional bimodules. Almost all these groups are trivial, the only exceptions are 1-dimensional $H^2$ for two particular 1-dimensional bimodules.

References in corpus (1)

• Non-Reidemeister Knot Theory and Its Applications in Dynamical Systems, Geometry, and Topology